%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SEU044+1 : TPTP v9.2.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.sx6HhwfPYr true
% Computer : n019.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Oct 2 04:53:21 PM UTC 2025
% Result : Theorem 2.43s 3.06s
% Output : Refutation 2.43s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/1.09 % Problem : SEU044+1 : TPTP v9.2.0. Released v3.2.0.
% 0.13/1.18 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.sx6HhwfPYr true
% 0.14/1.61 % Computer : n019.cluster.edu
% 0.14/1.61 % Model : x86_64 x86_64
% 0.14/1.61 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/1.61 % Memory : 8042.1875MB
% 0.14/1.61 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/1.61 % CPULimit : 300
% 0.14/1.61 % WCLimit : 300
% 0.14/1.61 % DateTime : Wed Oct 1 16:02:39 EDT 2025
% 0.14/1.62 % CPUTime :
% 0.14/1.62 % Running portfolio for 300 s
% 0.14/1.62 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.21/1.64 % Number of cores: 8
% 0.21/1.65 % Python version: Python 3.6.8
% 0.21/1.67 % Running in FO mode
% 0.21/2.17 % Total configuration time : 435
% 0.21/2.17 % Estimated wc time : 1092
% 0.21/2.17 % Estimated cpu time (7 cpus) : 156.0
% 1.37/2.50 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 1.39/2.56 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 1.40/2.59 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 1.40/2.61 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 1.40/2.63 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 1.40/2.64 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 1.40/2.64 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 2.43/3.06 % Solved by fo/fo1_av.sh.
% 2.43/3.06 % done 281 iterations in 0.392s
% 2.43/3.06 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 2.43/3.06 % SZS output start Refutation
% 2.43/3.06 thf(sk__12_type, type, sk__12: $i).
% 2.43/3.06 thf(in_type, type, in: $i > $i > $o).
% 2.43/3.06 thf(relation_type, type, relation: $i > $o).
% 2.43/3.06 thf(relation_dom_type, type, relation_dom: $i > $i).
% 2.43/3.06 thf(sk__11_type, type, sk__11: $i).
% 2.43/3.06 thf(sk__13_type, type, sk__13: $i).
% 2.43/3.06 thf(zip_tseitin_1_type, type, zip_tseitin_1: $i > $i > $i > $o).
% 2.43/3.06 thf(apply_type, type, apply: $i > $i > $i).
% 2.43/3.06 thf(zip_tseitin_0_type, type, zip_tseitin_0: $i > $i > $i > $o).
% 2.43/3.06 thf(relation_rng_restriction_type, type, relation_rng_restriction: $i > $i > $i).
% 2.43/3.06 thf(function_type, type, function: $i > $o).
% 2.43/3.06 thf(t86_funct_1, conjecture,
% 2.43/3.06 (![A:$i,B:$i,C:$i]:
% 2.43/3.06 ( ( ( relation @ C ) & ( function @ C ) ) =>
% 2.43/3.06 ( ( in @ B @ ( relation_dom @ ( relation_rng_restriction @ A @ C ) ) ) <=>
% 2.43/3.06 ( ( in @ B @ ( relation_dom @ C ) ) & ( in @ ( apply @ C @ B ) @ A ) ) ) ))).
% 2.43/3.06 thf(zf_stmt_0, negated_conjecture,
% 2.43/3.06 (~( ![A:$i,B:$i,C:$i]:
% 2.43/3.06 ( ( ( relation @ C ) & ( function @ C ) ) =>
% 2.43/3.06 ( ( in @ B @ ( relation_dom @ ( relation_rng_restriction @ A @ C ) ) ) <=>
% 2.43/3.06 ( ( in @ B @ ( relation_dom @ C ) ) &
% 2.43/3.06 ( in @ ( apply @ C @ B ) @ A ) ) ) ) )),
% 2.43/3.06 inference('cnf.neg', [status(esa)], [t86_funct_1])).
% 2.43/3.06 thf(zip_derived_cl54, plain,
% 2.43/3.06 (( (in @ (apply @ sk__13 @ sk__12) @ sk__11)
% 2.43/3.06 | (in @ sk__12 @
% 2.43/3.06 (relation_dom @ (relation_rng_restriction @ sk__11 @ sk__13))))),
% 2.43/3.06 inference('cnf', [status(esa)], [zf_stmt_0])).
% 2.43/3.06 thf('0', plain,
% 2.43/3.06 (( (in @ (apply @ sk__13 @ sk__12) @ sk__11)) |
% 2.43/3.06 ( (in @ sk__12 @
% 2.43/3.06 (relation_dom @ (relation_rng_restriction @ sk__11 @ sk__13))))),
% 2.43/3.06 inference('split', [status(esa)], [zip_derived_cl54])).
% 2.43/3.06 thf(zip_derived_cl52, plain,
% 2.43/3.06 ((~ (in @ (apply @ sk__13 @ sk__12) @ sk__11)
% 2.43/3.06 | ~ (in @ sk__12 @ (relation_dom @ sk__13))
% 2.43/3.06 | ~ (in @ sk__12 @
% 2.43/3.06 (relation_dom @ (relation_rng_restriction @ sk__11 @ sk__13))))),
% 2.43/3.06 inference('cnf', [status(esa)], [zf_stmt_0])).
% 2.43/3.06 thf('1', plain,
% 2.43/3.06 (~
% 2.43/3.06 ( (in @ sk__12 @
% 2.43/3.06 (relation_dom @ (relation_rng_restriction @ sk__11 @ sk__13)))) |
% 2.43/3.06 ~ ( (in @ (apply @ sk__13 @ sk__12) @ sk__11)) |
% 2.43/3.06 ~ ( (in @ sk__12 @ (relation_dom @ sk__13)))),
% 2.43/3.06 inference('split', [status(esa)], [zip_derived_cl52])).
% 2.43/3.06 thf(zip_derived_cl53, plain,
% 2.43/3.06 (( (in @ sk__12 @ (relation_dom @ sk__13))
% 2.43/3.06 | (in @ sk__12 @
% 2.43/3.06 (relation_dom @ (relation_rng_restriction @ sk__11 @ sk__13))))),
% 2.43/3.06 inference('cnf', [status(esa)], [zf_stmt_0])).
% 2.43/3.06 thf(zip_derived_cl69, plain,
% 2.43/3.06 (( (in @ sk__12 @
% 2.43/3.06 (relation_dom @ (relation_rng_restriction @ sk__11 @ sk__13))))
% 2.43/3.06 <= (( (in @ sk__12 @
% 2.43/3.06 (relation_dom @ (relation_rng_restriction @ sk__11 @ sk__13)))))),
% 2.43/3.06 inference('split', [status(esa)], [zip_derived_cl53])).
% 2.43/3.06 thf(t85_funct_1, axiom,
% 2.43/3.06 (![A:$i,B:$i]:
% 2.43/3.06 ( ( ( function @ B ) & ( relation @ B ) ) =>
% 2.43/3.06 ( ![C:$i]:
% 2.43/3.06 ( ( ( function @ C ) & ( relation @ C ) ) =>
% 2.43/3.06 ( ( ( B ) = ( relation_rng_restriction @ A @ C ) ) <=>
% 2.43/3.06 ( ( ![D:$i]:
% 2.43/3.06 ( ( in @ D @ ( relation_dom @ B ) ) =>
% 2.43/3.06 ( ( apply @ B @ D ) = ( apply @ C @ D ) ) ) ) &
% 2.43/3.06 ( ![D:$i]:
% 2.43/3.06 ( ( in @ D @ ( relation_dom @ B ) ) <=>
% 2.43/3.06 ( ( in @ ( apply @ C @ D ) @ A ) &
% 2.43/3.06 ( in @ D @ ( relation_dom @ C ) ) ) ) ) ) ) ) ) ))).
% 2.43/3.06 thf(zf_stmt_1, type, zip_tseitin_1 : $i > $i > $i > $o).
% 2.43/3.06 thf(zf_stmt_2, axiom,
% 2.43/3.06 (![D:$i,C:$i,A:$i]:
% 2.43/3.06 ( ( zip_tseitin_1 @ D @ C @ A ) <=>
% 2.43/3.06 ( ( in @ D @ ( relation_dom @ C ) ) & ( in @ ( apply @ C @ D ) @ A ) ) ))).
% 2.43/3.06 thf(zf_stmt_3, type, zip_tseitin_0 : $i > $i > $i > $o).
% 2.43/3.06 thf(zf_stmt_4, axiom,
% 2.43/3.06 (![D:$i,C:$i,B:$i]:
% 2.43/3.06 ( ( zip_tseitin_0 @ D @ C @ B ) <=>
% 2.43/3.06 ( ( in @ D @ ( relation_dom @ B ) ) =>
% 2.43/3.06 ( ( apply @ B @ D ) = ( apply @ C @ D ) ) ) ))).
% 2.43/3.06 thf(zf_stmt_5, axiom,
% 2.43/3.06 (![A:$i,B:$i]:
% 2.43/3.06 ( ( ( relation @ B ) & ( function @ B ) ) =>
% 2.43/3.06 ( ![C:$i]:
% 2.43/3.06 ( ( ( relation @ C ) & ( function @ C ) ) =>
% 2.43/3.06 ( ( ( B ) = ( relation_rng_restriction @ A @ C ) ) <=>
% 2.43/3.06 ( ( ![D:$i]:
% 2.43/3.06 ( ( in @ D @ ( relation_dom @ B ) ) <=>
% 2.43/3.06 ( zip_tseitin_1 @ D @ C @ A ) ) ) &
% 2.43/3.06 ( ![D:$i]: ( zip_tseitin_0 @ D @ C @ B ) ) ) ) ) ) ))).
% 2.43/3.06 thf(zip_derived_cl65, plain,
% 2.43/3.06 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 2.43/3.06 (~ (relation @ X0)
% 2.43/3.06 | ~ (function @ X0)
% 2.43/3.06 | ((X2) != (relation_rng_restriction @ X1 @ X0))
% 2.43/3.06 | (zip_tseitin_1 @ X3 @ X0 @ X1)
% 2.43/3.06 | ~ (in @ X3 @ (relation_dom @ X2))
% 2.43/3.06 | ~ (function @ X2)
% 2.43/3.06 | ~ (relation @ X2))),
% 2.43/3.06 inference('cnf', [status(esa)], [zf_stmt_5])).
% 2.43/3.06 thf(zip_derived_cl278, plain,
% 2.43/3.06 ((![X0 : $i, X1 : $i]:
% 2.43/3.06 (~ (relation @ X0)
% 2.43/3.06 | ~ (function @ X0)
% 2.43/3.06 | ((relation_rng_restriction @ sk__11 @ sk__13)
% 2.43/3.06 != (relation_rng_restriction @ X1 @ X0))
% 2.43/3.06 | (zip_tseitin_1 @ sk__12 @ X0 @ X1)
% 2.43/3.06 | ~ (function @ (relation_rng_restriction @ sk__11 @ sk__13))
% 2.43/3.06 | ~ (relation @ (relation_rng_restriction @ sk__11 @ sk__13))))
% 2.43/3.06 <= (( (in @ sk__12 @
% 2.43/3.06 (relation_dom @ (relation_rng_restriction @ sk__11 @ sk__13)))))),
% 2.43/3.06 inference('s_sup-', [status(thm)], [zip_derived_cl69, zip_derived_cl65])).
% 2.43/3.06 thf(zip_derived_cl419, plain,
% 2.43/3.06 ((![X0 : $i, X1 : $i]:
% 2.43/3.06 (~ (function @ X0)
% 2.43/3.06 | ~ (relation @ X0)
% 2.43/3.06 | ((relation_rng_restriction @ sk__11 @ sk__13)
% 2.43/3.06 != (relation_rng_restriction @ X1 @ X0))
% 2.43/3.06 | (zip_tseitin_1 @ sk__12 @ X0 @ X1)))
% 2.43/3.06 <= ((![X0 : $i, X1 : $i]:
% 2.43/3.06 (~ (function @ X0)
% 2.43/3.06 | ~ (relation @ X0)
% 2.43/3.06 | ((relation_rng_restriction @ sk__11 @ sk__13)
% 2.43/3.06 != (relation_rng_restriction @ X1 @ X0))
% 2.43/3.06 | (zip_tseitin_1 @ sk__12 @ X0 @ X1))))),
% 2.43/3.06 inference('split', [status(esa)], [zip_derived_cl278])).
% 2.43/3.06 thf(zip_derived_cl58, plain,
% 2.43/3.06 (![X0 : $i, X1 : $i, X2 : $i]:
% 2.43/3.06 ( (in @ X0 @ (relation_dom @ X1)) | ~ (zip_tseitin_1 @ X0 @ X1 @ X2))),
% 2.43/3.06 inference('cnf', [status(esa)], [zf_stmt_2])).
% 2.43/3.06 thf(zip_derived_cl422, plain,
% 2.43/3.06 ((![X0 : $i, X1 : $i]:
% 2.43/3.06 (((relation_rng_restriction @ sk__11 @ sk__13)
% 2.43/3.06 != (relation_rng_restriction @ X0 @ X1))
% 2.43/3.06 | ~ (relation @ X1)
% 2.43/3.06 | ~ (function @ X1)
% 2.43/3.06 | (in @ sk__12 @ (relation_dom @ X1))))
% 2.43/3.06 <= ((![X0 : $i, X1 : $i]:
% 2.43/3.06 (~ (function @ X0)
% 2.43/3.06 | ~ (relation @ X0)
% 2.43/3.06 | ((relation_rng_restriction @ sk__11 @ sk__13)
% 2.43/3.06 != (relation_rng_restriction @ X1 @ X0))
% 2.43/3.06 | (zip_tseitin_1 @ sk__12 @ X0 @ X1))))),
% 2.43/3.06 inference('s_sup-', [status(thm)], [zip_derived_cl419, zip_derived_cl58])).
% 2.43/3.06 thf(zip_derived_cl442, plain,
% 2.43/3.06 ((( (in @ sk__12 @ (relation_dom @ sk__13))
% 2.43/3.06 | ~ (function @ sk__13)
% 2.43/3.06 | ~ (relation @ sk__13)))
% 2.43/3.06 <= ((![X0 : $i, X1 : $i]:
% 2.43/3.06 (~ (function @ X0)
% 2.43/3.06 | ~ (relation @ X0)
% 2.43/3.06 | ((relation_rng_restriction @ sk__11 @ sk__13)
% 2.43/3.06 != (relation_rng_restriction @ X1 @ X0))
% 2.43/3.06 | (zip_tseitin_1 @ sk__12 @ X0 @ X1))))),
% 2.43/3.06 inference('eq_res', [status(thm)], [zip_derived_cl422])).
% 2.43/3.06 thf(zip_derived_cl51, plain, ( (function @ sk__13)),
% 2.43/3.06 inference('cnf', [status(esa)], [zf_stmt_0])).
% 2.43/3.06 thf(zip_derived_cl50, plain, ( (relation @ sk__13)),
% 2.43/3.06 inference('cnf', [status(esa)], [zf_stmt_0])).
% 2.43/3.06 thf(zip_derived_cl443, plain,
% 2.43/3.06 (( (in @ sk__12 @ (relation_dom @ sk__13)))
% 2.43/3.06 <= ((![X0 : $i, X1 : $i]:
% 2.43/3.06 (~ (function @ X0)
% 2.43/3.06 | ~ (relation @ X0)
% 2.43/3.06 | ((relation_rng_restriction @ sk__11 @ sk__13)
% 2.43/3.06 != (relation_rng_restriction @ X1 @ X0))
% 2.43/3.06 | (zip_tseitin_1 @ sk__12 @ X0 @ X1))))),
% 2.43/3.06 inference('demod', [status(thm)],
% 2.43/3.06 [zip_derived_cl442, zip_derived_cl51, zip_derived_cl50])).
% 2.43/3.06 thf(zip_derived_cl67, plain,
% 2.43/3.06 ((~ (in @ sk__12 @ (relation_dom @ sk__13)))
% 2.43/3.06 <= (~ ( (in @ sk__12 @ (relation_dom @ sk__13))))),
% 2.43/3.06 inference('split', [status(esa)], [zip_derived_cl52])).
% 2.43/3.06 thf('2', plain,
% 2.43/3.06 (~
% 2.43/3.06 (![X0 : $i, X1 : $i]:
% 2.43/3.06 (~ (function @ X0)
% 2.43/3.06 | ~ (relation @ X0)
% 2.43/3.06 | ((relation_rng_restriction @ sk__11 @ sk__13)
% 2.43/3.06 != (relation_rng_restriction @ X1 @ X0))
% 2.43/3.06 | (zip_tseitin_1 @ sk__12 @ X0 @ X1))) |
% 2.43/3.06 ( (in @ sk__12 @ (relation_dom @ sk__13)))),
% 2.43/3.06 inference('s_sup-', [status(thm)], [zip_derived_cl443, zip_derived_cl67])).
% 2.43/3.06 thf('3', plain,
% 2.43/3.06 (( (in @ sk__12 @ (relation_dom @ sk__13))) |
% 2.43/3.06 ( (in @ sk__12 @
% 2.43/3.06 (relation_dom @ (relation_rng_restriction @ sk__11 @ sk__13))))),
% 2.43/3.06 inference('split', [status(esa)], [zip_derived_cl53])).
% 2.43/3.06 thf(fc5_funct_1, axiom,
% 2.43/3.06 (![A:$i,B:$i]:
% 2.43/3.06 ( ( ( relation @ B ) & ( function @ B ) ) =>
% 2.43/3.06 ( ( relation @ ( relation_rng_restriction @ A @ B ) ) &
% 2.43/3.06 ( function @ ( relation_rng_restriction @ A @ B ) ) ) ))).
% 2.43/3.06 thf(zip_derived_cl27, plain,
% 2.43/3.06 (![X0 : $i, X1 : $i]:
% 2.43/3.06 ( (function @ (relation_rng_restriction @ X0 @ X1))
% 2.43/3.06 | ~ (function @ X1)
% 2.43/3.06 | ~ (relation @ X1))),
% 2.43/3.06 inference('cnf', [status(esa)], [fc5_funct_1])).
% 2.43/3.06 thf(zip_derived_cl72, plain,
% 2.43/3.06 (( (in @ (apply @ sk__13 @ sk__12) @ sk__11))
% 2.43/3.06 <= (( (in @ (apply @ sk__13 @ sk__12) @ sk__11)))),
% 2.43/3.06 inference('split', [status(esa)], [zip_derived_cl54])).
% 2.43/3.06 thf(zip_derived_cl60, plain,
% 2.43/3.06 (![X0 : $i, X1 : $i, X2 : $i]:
% 2.43/3.06 ( (zip_tseitin_1 @ X0 @ X1 @ X2)
% 2.43/3.06 | ~ (in @ (apply @ X1 @ X0) @ X2)
% 2.43/3.06 | ~ (in @ X0 @ (relation_dom @ X1)))),
% 2.43/3.06 inference('cnf', [status(esa)], [zf_stmt_2])).
% 2.43/3.06 thf(zip_derived_cl246, plain,
% 2.43/3.06 ((( (zip_tseitin_1 @ sk__12 @ sk__13 @ sk__11)
% 2.43/3.06 | ~ (in @ sk__12 @ (relation_dom @ sk__13))))
% 2.43/3.06 <= (( (in @ (apply @ sk__13 @ sk__12) @ sk__11)))),
% 2.43/3.06 inference('s_sup-', [status(thm)], [zip_derived_cl72, zip_derived_cl60])).
% 2.43/3.06 thf(zip_derived_cl247, plain,
% 2.43/3.06 (( (zip_tseitin_1 @ sk__12 @ sk__13 @ sk__11))
% 2.43/3.06 <= (( (zip_tseitin_1 @ sk__12 @ sk__13 @ sk__11)))),
% 2.43/3.06 inference('split', [status(esa)], [zip_derived_cl246])).
% 2.43/3.06 thf(zip_derived_cl64, plain,
% 2.43/3.06 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 2.43/3.06 (~ (relation @ X0)
% 2.43/3.06 | ~ (function @ X0)
% 2.43/3.06 | ((X2) != (relation_rng_restriction @ X1 @ X0))
% 2.43/3.06 | (in @ X3 @ (relation_dom @ X2))
% 2.43/3.06 | ~ (zip_tseitin_1 @ X3 @ X0 @ X1)
% 2.43/3.06 | ~ (function @ X2)
% 2.43/3.06 | ~ (relation @ X2))),
% 2.43/3.06 inference('cnf', [status(esa)], [zf_stmt_5])).
% 2.43/3.06 thf(zip_derived_cl293, plain,
% 2.43/3.06 ((![X0 : $i]:
% 2.43/3.06 (~ (relation @ sk__13)
% 2.43/3.06 | ~ (function @ sk__13)
% 2.43/3.06 | ((X0) != (relation_rng_restriction @ sk__11 @ sk__13))
% 2.43/3.06 | (in @ sk__12 @ (relation_dom @ X0))
% 2.43/3.06 | ~ (function @ X0)
% 2.43/3.06 | ~ (relation @ X0)))
% 2.43/3.06 <= (( (zip_tseitin_1 @ sk__12 @ sk__13 @ sk__11)))),
% 2.43/3.06 inference('s_sup-', [status(thm)], [zip_derived_cl247, zip_derived_cl64])).
% 2.43/3.06 thf(zip_derived_cl50, plain, ( (relation @ sk__13)),
% 2.43/3.06 inference('cnf', [status(esa)], [zf_stmt_0])).
% 2.43/3.06 thf(zip_derived_cl51, plain, ( (function @ sk__13)),
% 2.43/3.06 inference('cnf', [status(esa)], [zf_stmt_0])).
% 2.43/3.06 thf(zip_derived_cl295, plain,
% 2.43/3.06 ((![X0 : $i]:
% 2.43/3.06 (((X0) != (relation_rng_restriction @ sk__11 @ sk__13))
% 2.43/3.06 | (in @ sk__12 @ (relation_dom @ X0))
% 2.43/3.06 | ~ (function @ X0)
% 2.43/3.06 | ~ (relation @ X0)))
% 2.43/3.06 <= (( (zip_tseitin_1 @ sk__12 @ sk__13 @ sk__11)))),
% 2.43/3.06 inference('demod', [status(thm)],
% 2.43/3.06 [zip_derived_cl293, zip_derived_cl50, zip_derived_cl51])).
% 2.43/3.06 thf(zip_derived_cl66, plain,
% 2.43/3.06 ((~ (in @ sk__12 @
% 2.43/3.06 (relation_dom @ (relation_rng_restriction @ sk__11 @ sk__13))))
% 2.43/3.06 <= (~
% 2.43/3.06 ( (in @ sk__12 @
% 2.43/3.06 (relation_dom @ (relation_rng_restriction @ sk__11 @ sk__13)))))),
% 2.43/3.06 inference('split', [status(esa)], [zip_derived_cl52])).
% 2.43/3.06 thf(zip_derived_cl304, plain,
% 2.43/3.06 (((~ (relation @ (relation_rng_restriction @ sk__11 @ sk__13))
% 2.43/3.06 | ~ (function @ (relation_rng_restriction @ sk__11 @ sk__13))
% 2.43/3.06 | ((relation_rng_restriction @ sk__11 @ sk__13)
% 2.43/3.06 != (relation_rng_restriction @ sk__11 @ sk__13))))
% 2.43/3.06 <= (~
% 2.43/3.06 ( (in @ sk__12 @
% 2.43/3.06 (relation_dom @ (relation_rng_restriction @ sk__11 @ sk__13)))) &
% 2.43/3.06 ( (zip_tseitin_1 @ sk__12 @ sk__13 @ sk__11)))),
% 2.43/3.06 inference('s_sup-', [status(thm)], [zip_derived_cl295, zip_derived_cl66])).
% 2.43/3.06 thf(zip_derived_cl309, plain,
% 2.43/3.06 (((~ (function @ (relation_rng_restriction @ sk__11 @ sk__13))
% 2.43/3.06 | ~ (relation @ (relation_rng_restriction @ sk__11 @ sk__13))))
% 2.43/3.06 <= (~
% 2.43/3.06 ( (in @ sk__12 @
% 2.43/3.06 (relation_dom @ (relation_rng_restriction @ sk__11 @ sk__13)))) &
% 2.43/3.06 ( (zip_tseitin_1 @ sk__12 @ sk__13 @ sk__11)))),
% 2.43/3.06 inference('simplify', [status(thm)], [zip_derived_cl304])).
% 2.43/3.06 thf(zip_derived_cl311, plain,
% 2.43/3.06 ((~ (function @ (relation_rng_restriction @ sk__11 @ sk__13)))
% 2.43/3.06 <= (~ ( (function @ (relation_rng_restriction @ sk__11 @ sk__13))))),
% 2.43/3.06 inference('split', [status(esa)], [zip_derived_cl309])).
% 2.43/3.06 thf(zip_derived_cl323, plain,
% 2.43/3.06 (((~ (relation @ sk__13) | ~ (function @ sk__13)))
% 2.43/3.06 <= (~ ( (function @ (relation_rng_restriction @ sk__11 @ sk__13))))),
% 2.43/3.06 inference('s_sup-', [status(thm)], [zip_derived_cl27, zip_derived_cl311])).
% 2.43/3.06 thf(zip_derived_cl50, plain, ( (relation @ sk__13)),
% 2.43/3.06 inference('cnf', [status(esa)], [zf_stmt_0])).
% 2.43/3.06 thf(zip_derived_cl51, plain, ( (function @ sk__13)),
% 2.43/3.06 inference('cnf', [status(esa)], [zf_stmt_0])).
% 2.43/3.06 thf('4', plain,
% 2.43/3.06 (( (function @ (relation_rng_restriction @ sk__11 @ sk__13)))),
% 2.43/3.06 inference('demod', [status(thm)],
% 2.43/3.06 [zip_derived_cl323, zip_derived_cl50, zip_derived_cl51])).
% 2.43/3.06 thf(dt_k8_relat_1, axiom,
% 2.43/3.06 (![A:$i,B:$i]:
% 2.43/3.06 ( ( relation @ B ) => ( relation @ ( relation_rng_restriction @ A @ B ) ) ))).
% 2.43/3.06 thf(zip_derived_cl25, plain,
% 2.43/3.06 (![X0 : $i, X1 : $i]:
% 2.43/3.06 ( (relation @ (relation_rng_restriction @ X0 @ X1))
% 2.43/3.06 | ~ (relation @ X1))),
% 2.43/3.06 inference('cnf', [status(esa)], [dt_k8_relat_1])).
% 2.43/3.06 thf(zip_derived_cl310, plain,
% 2.43/3.06 ((~ (relation @ (relation_rng_restriction @ sk__11 @ sk__13)))
% 2.43/3.06 <= (~ ( (relation @ (relation_rng_restriction @ sk__11 @ sk__13))))),
% 2.43/3.06 inference('split', [status(esa)], [zip_derived_cl309])).
% 2.43/3.06 thf(zip_derived_cl313, plain,
% 2.43/3.06 ((~ (relation @ sk__13))
% 2.43/3.06 <= (~ ( (relation @ (relation_rng_restriction @ sk__11 @ sk__13))))),
% 2.43/3.06 inference('s_sup-', [status(thm)], [zip_derived_cl25, zip_derived_cl310])).
% 2.43/3.06 thf(zip_derived_cl50, plain, ( (relation @ sk__13)),
% 2.43/3.06 inference('cnf', [status(esa)], [zf_stmt_0])).
% 2.43/3.06 thf('5', plain,
% 2.43/3.06 (( (relation @ (relation_rng_restriction @ sk__11 @ sk__13)))),
% 2.43/3.06 inference('demod', [status(thm)], [zip_derived_cl313, zip_derived_cl50])).
% 2.43/3.06 thf('6', plain,
% 2.43/3.06 ((![X0 : $i, X1 : $i]:
% 2.43/3.06 (~ (function @ X0)
% 2.43/3.06 | ~ (relation @ X0)
% 2.43/3.06 | ((relation_rng_restriction @ sk__11 @ sk__13)
% 2.43/3.06 != (relation_rng_restriction @ X1 @ X0))
% 2.43/3.06 | (zip_tseitin_1 @ sk__12 @ X0 @ X1))) |
% 2.43/3.06 ~
% 2.43/3.06 ( (in @ sk__12 @
% 2.43/3.06 (relation_dom @ (relation_rng_restriction @ sk__11 @ sk__13)))) |
% 2.43/3.06 ~ ( (relation @ (relation_rng_restriction @ sk__11 @ sk__13))) |
% 2.43/3.06 ~ ( (function @ (relation_rng_restriction @ sk__11 @ sk__13)))),
% 2.43/3.06 inference('split', [status(esa)], [zip_derived_cl278])).
% 2.43/3.06 thf(zip_derived_cl419, plain,
% 2.43/3.06 ((![X0 : $i, X1 : $i]:
% 2.43/3.06 (~ (function @ X0)
% 2.43/3.06 | ~ (relation @ X0)
% 2.43/3.06 | ((relation_rng_restriction @ sk__11 @ sk__13)
% 2.43/3.06 != (relation_rng_restriction @ X1 @ X0))
% 2.43/3.06 | (zip_tseitin_1 @ sk__12 @ X0 @ X1)))
% 2.43/3.06 <= ((![X0 : $i, X1 : $i]:
% 2.43/3.06 (~ (function @ X0)
% 2.43/3.06 | ~ (relation @ X0)
% 2.43/3.06 | ((relation_rng_restriction @ sk__11 @ sk__13)
% 2.43/3.06 != (relation_rng_restriction @ X1 @ X0))
% 2.43/3.06 | (zip_tseitin_1 @ sk__12 @ X0 @ X1))))),
% 2.43/3.06 inference('split', [status(esa)], [zip_derived_cl278])).
% 2.43/3.06 thf(zip_derived_cl59, plain,
% 2.43/3.06 (![X0 : $i, X1 : $i, X2 : $i]:
% 2.43/3.06 ( (in @ (apply @ X0 @ X1) @ X2) | ~ (zip_tseitin_1 @ X1 @ X0 @ X2))),
% 2.43/3.06 inference('cnf', [status(esa)], [zf_stmt_2])).
% 2.43/3.06 thf(zip_derived_cl68, plain,
% 2.43/3.06 ((~ (in @ (apply @ sk__13 @ sk__12) @ sk__11))
% 2.43/3.06 <= (~ ( (in @ (apply @ sk__13 @ sk__12) @ sk__11)))),
% 2.43/3.06 inference('split', [status(esa)], [zip_derived_cl52])).
% 2.43/3.06 thf(zip_derived_cl236, plain,
% 2.43/3.06 ((~ (zip_tseitin_1 @ sk__12 @ sk__13 @ sk__11))
% 2.43/3.06 <= (~ ( (in @ (apply @ sk__13 @ sk__12) @ sk__11)))),
% 2.43/3.06 inference('s_sup-', [status(thm)], [zip_derived_cl59, zip_derived_cl68])).
% 2.43/3.06 thf(zip_derived_cl436, plain,
% 2.43/3.06 (((((relation_rng_restriction @ sk__11 @ sk__13)
% 2.43/3.06 != (relation_rng_restriction @ sk__11 @ sk__13))
% 2.43/3.06 | ~ (relation @ sk__13)
% 2.43/3.06 | ~ (function @ sk__13)))
% 2.43/3.06 <= (~ ( (in @ (apply @ sk__13 @ sk__12) @ sk__11)) &
% 2.43/3.06 (![X0 : $i, X1 : $i]:
% 2.43/3.06 (~ (function @ X0)
% 2.43/3.06 | ~ (relation @ X0)
% 2.43/3.06 | ((relation_rng_restriction @ sk__11 @ sk__13)
% 2.43/3.06 != (relation_rng_restriction @ X1 @ X0))
% 2.43/3.06 | (zip_tseitin_1 @ sk__12 @ X0 @ X1))))),
% 2.43/3.06 inference('s_sup-', [status(thm)], [zip_derived_cl419, zip_derived_cl236])).
% 2.43/3.06 thf(zip_derived_cl50, plain, ( (relation @ sk__13)),
% 2.43/3.06 inference('cnf', [status(esa)], [zf_stmt_0])).
% 2.43/3.06 thf(zip_derived_cl51, plain, ( (function @ sk__13)),
% 2.43/3.06 inference('cnf', [status(esa)], [zf_stmt_0])).
% 2.43/3.06 thf(zip_derived_cl438, plain,
% 2.43/3.06 ((((relation_rng_restriction @ sk__11 @ sk__13)
% 2.43/3.06 != (relation_rng_restriction @ sk__11 @ sk__13)))
% 2.43/3.06 <= (~ ( (in @ (apply @ sk__13 @ sk__12) @ sk__11)) &
% 2.43/3.06 (![X0 : $i, X1 : $i]:
% 2.43/3.06 (~ (function @ X0)
% 2.43/3.06 | ~ (relation @ X0)
% 2.43/3.06 | ((relation_rng_restriction @ sk__11 @ sk__13)
% 2.43/3.06 != (relation_rng_restriction @ X1 @ X0))
% 2.43/3.06 | (zip_tseitin_1 @ sk__12 @ X0 @ X1))))),
% 2.43/3.06 inference('demod', [status(thm)],
% 2.43/3.06 [zip_derived_cl436, zip_derived_cl50, zip_derived_cl51])).
% 2.43/3.06 thf('7', plain,
% 2.43/3.06 (~
% 2.43/3.06 (![X0 : $i, X1 : $i]:
% 2.43/3.06 (~ (function @ X0)
% 2.43/3.06 | ~ (relation @ X0)
% 2.43/3.06 | ((relation_rng_restriction @ sk__11 @ sk__13)
% 2.43/3.06 != (relation_rng_restriction @ X1 @ X0))
% 2.43/3.06 | (zip_tseitin_1 @ sk__12 @ X0 @ X1))) |
% 2.43/3.06 ( (in @ (apply @ sk__13 @ sk__12) @ sk__11))),
% 2.43/3.06 inference('simplify', [status(thm)], [zip_derived_cl438])).
% 2.43/3.06 thf('8', plain,
% 2.43/3.06 (~ ( (zip_tseitin_1 @ sk__12 @ sk__13 @ sk__11)) |
% 2.43/3.06 ( (in @ sk__12 @
% 2.43/3.06 (relation_dom @ (relation_rng_restriction @ sk__11 @ sk__13)))) |
% 2.43/3.06 ~ ( (function @ (relation_rng_restriction @ sk__11 @ sk__13))) |
% 2.43/3.06 ~ ( (relation @ (relation_rng_restriction @ sk__11 @ sk__13)))),
% 2.43/3.06 inference('split', [status(esa)], [zip_derived_cl309])).
% 2.43/3.06 thf('9', plain,
% 2.43/3.06 (( (zip_tseitin_1 @ sk__12 @ sk__13 @ sk__11)) |
% 2.43/3.06 ~ ( (in @ (apply @ sk__13 @ sk__12) @ sk__11)) |
% 2.43/3.06 ~ ( (in @ sk__12 @ (relation_dom @ sk__13)))),
% 2.43/3.06 inference('split', [status(esa)], [zip_derived_cl246])).
% 2.43/3.06 thf(zip_derived_cl451, plain, ($false),
% 2.43/3.06 inference('sat_resolution*', [status(thm)],
% 2.43/3.06 ['0', '1', '2', '3', '4', '5', '6', '7', '8', '9'])).
% 2.43/3.06
% 2.43/3.06 % SZS output end Refutation
% 2.43/3.06
% 2.43/3.06
% 2.43/3.06 % Terminating...
% 2.91/3.28 % Runner terminated.
% 2.91/3.31 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------